作者
Ali H Bhrawy, Mohammed A Alghamdi
发表日期
2012/12
期刊
Boundary Value Problems
卷号
2012
页码范围
1-13
出版商
Springer International Publishing
简介
In this paper, we develop a Jacobi-Gauss-Lobatto collocation method for solving the nonlinear fractional Langevin equation with three-point boundary conditions. The fractional derivative is described in the Caputo sense. The shifted Jacobi-Gauss-Lobatto points are used as collocation nodes. The main characteristic behind the Jacobi-Gauss-Lobatto collocation approach is that it reduces such a problem to those of solving a system of algebraic equations. This system is written in a compact matrix form. Through several numerical examples, we evaluate the accuracy and performance of the proposed method. The method is easy to implement and yields very accurate results.
学术搜索中的文章
AH Bhrawy, MA Alghamdi - Boundary Value Problems, 2012